The Royals are firmly involved in the promotion fight this season as they sit third in the Championship table, six points behind leaders Newcastle and four adrift of second-placed Brighton.
Moore, 23, made the switch from Leicester to Reading in the summer and he feels he has improved as a player as a result of the style Stam has implemented on the side.
He told the club’s official website: “I’m enjoying the style of play here, and I’m learning a lot.
“I always feel you enjoy things more when you are picking up new things.
“The management staff here are great, they’ve got lots of different ways of doing things, of movements and technical and tactical ways of the game.
“It’s brilliant to be part of it and you always enjoy it that little bit more when you’re getting the results. For me personally playing the ball is an aspect of the game I’ve always wanted to work on.
“To have a manager that has the same thoughts about wanting his defenders to play is only going to improve me as a player.”
He added: “Me and all the other boys playing in defence, we have to be comfortable with the ball there are no two ways about it.
“We have to make angles and we have to take brave decisions. The gaffer always wants us to drive forward and take the initiative. If I can improve that in my game it will make me a better player.”
Southampton have announced plans for a two-week tour of China as part of their pre-season preparations for the 2018-19 season.